When the gas-dynamic equations are derived from the solution of the Boltzmann equation by the Chapman-Enskog method, the order of the system of partial differential equations tends to increase with increasing number of the approximation. As a result, it is necessary to have more and more boundary conditions for these equations, which, however, are at present definitely known only for the first two approximations (models of an ideal gas and a viscous gas). A method is proposed for constructing additional boundary conditions; the method is illustrated in a number of examples.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 77–87, May–June, 1979.
I should like to thank M. N. Kogan, V. S. Galkin, O. G. Fridlender, and S. A. Regirer for their interest in the work and for valuable discussions.
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Makashev, N.K. On the boundary conditions for the equations of gas dynamics corresponding to the higher approximations in the Chapman-Enskog method of solution of the Boltzmann equation. Fluid Dyn 14, 385–394 (1979). https://doi.org/10.1007/BF01062444
- Boundary Condition
- Differential Equation
- Partial Differential Equation
- Boltzmann Equation
- High Approximation